[1] When the Icelander Þorgerðr Þorkelsdóttir gives birth to a son, her husband Ásbjörn forces her to expose the child as a way of taking revenge on her for previously marrying off their daughter without his permission.
Upon reaching adulthood, Finnbogi subsequently becomes anxious to travel abroad, and resolves to visit the court of Hákon Sigurðarson, the Jarl of Hlaðir and effective ruler of Norway.
To atone for his crime, Finnbogi is first forced to fight a monstrous bear (which he kills), and is then sent on an errand to collect a debt owed to Jarl Hákon by a man named Bersi inn hvíti, who has taken service with the Varangian Guard in Constantinople.
Finnbogi successfully completes the mission, and while in Constantinople he has a personal audience with the Byzantine emperor John I Tzimisces, who bestows on him the epithet 'the Strong' (rammi in Norse).
Having reconciled himself with Hákon by performing this task, Finnbogi marries the jarl's great-niece Ragnhildr Álfsdóttir (daughter of his earlier victim Álfr) and, having satisfied his desire for fame and glory, returns to Iceland to become a farmer.
At this low ebb in his fortunes, Finnbogi contemplates going abroad again, but his uncle Þorgeirr convinces him to stay and arranges for him to remarry to Eyjólfr's daughter Hallfríðr, thereby resolving the other outstanding conflict in the district.